Might work. You will need some kind of active adapter, not just a cable. Try it and post your results! 
Of course you could also just get one of the new Indivisions and Kipper2k's HDMI cable and have a perfect display with all screen modes too, lol.
Scroll down to HDMI adapter: http://kipper2k.com/amigaforsale/
Another option, doesn't your TV have a HD15 VGA input? Most TV's still do. You can always juse use the regular silver C= 23-to-15 adapter and try that. FYI, from past experience, plasma TV's make lousy computer monitors. Things that are supposed to be sharp and crisp (like text) look all blurry. Plasma is fine for movies and games I suppose, though. An LCD monitor or TV will look much better.
Most all monitors include the tv tuner circuitry these days (even those at 24" and under).
Having just gone through this, I advise reading complete spec sheets before purchasing, based on your connectivity needs.
Even DVI inputs are vanishing in favor of multiple HDMI, because the push is to "smart" TVs with single connection.
Most quality minded people are against this move, but this is about business.
VGA is rapidly disappearing as an input as well.
So is Component, despite existing game/dvd units that use it.
Composite, s-video, and other older type inputs are becoming downright rare even by comparison to DVI, VGA, and Component.
A point someone made even about those recent models where you CAN find the additional circuitry...the quality of that circuitry may be lower, due the stress being on HDMI.
Translation: inputs other than HDMI may exist but be of low quality as the manufacturers feel it's basically obsoleted and merely something they need to include on a very temporary basis.
The older models will have the most circuitry and the better quality circuitry as a result.
Cabling is also disappearing from big box stores. In the last month, for example, all cabling except HDMI was removed from my local walmart supercenter, a huge store.
You'll most likely need to shop online or you'll run into 30 USD vga cabling only certified for 640x480. I'm not kidding. I've seen it right on the packaging from Belkin.
Buy gear head (sometimes called "block") VGA cable online for about 1/3 the price of the low end vga selling now in big box stores. I get crystal clear text on LED with those, but again...it might be the circuitry as well as the cable quality.
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